Set up AppleID for a user without any email address
So my 84 year old mother has finally agreed to get a phone. Prior to her receiving the device I'd like to set her up with an email address and AppleID and add her to our family to share Apple One. The problem is the device will be sent to her 1000 km away so I won't be able to create the AppleID during device setup. I would like to have the email address and AppleID created so she can just enter the details. The problem is when I try to create an AppleID on my iPhone or iMac using the web, it needs me to enter an email address. I thought that the user would get the option for a free iCloud address when the AppleID is created. So how do I enter an email when she has no email. Is there a way that I can concurrently create an AppleID and iCloud email without a new device setup or even create an iCloud email that can be entered during the AppleID create process? My worry is that if I enter one of my emails that will become the AppleID or it will somehow be linked to my account.